13633147986345984

Names of 13633147986345984

• Cardinal: 13633147986345984 can be written as Thirteen quadrillion, six hundred thirty-three trillion, one hundred forty-seven billion, nine hundred eighty-six million, three hundred forty-five thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.3633147986345984 × 10¹⁶

Factors of 13633147986345984

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 84817

Divisors of 13633147986345984

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 37 41 48 64 74 82 96 111 123 128 148 164 192 222 246 256 296 328 384 444 492 512 592 656 768 888 984 1024 1093 1184 1312 1517 1536 1776 1968 2048 2186 2368 2624 3034 3072 3279 3552 3936 4096 4372 4551 4736 5248 6068 6144 6558 7104 7872 8192 8744 9102 9472 10496 12136 12288 13116 14208 15744 16384 17488 18204 18944 20992 24272 24576 26232 28416 31488 32768 34976 36408 37888 40441 41984 44813 48544 49152 52464 56832 62976 69952 72816 75776 80882 83641 83968 89626 97088 98304 104928 113664 121323 125952 134439 139904 145632 151552 161764 167282 167936 179252 194176 209856 227328 242646 250923 251904 268878 279808 291264 303104 323528 334564 335872 358504 388352 419712 454656 485292 501846 503808 537756 559616 582528 606208 647056 669128 671744 717008 776704 839424 909312 970584 1003692 1007616 1075512 1119232 1165056 1212416 1294112 1338256 1343488 1434016 1553408 1658081 1678848 1818624 1941168 2007384 2015232 2151024 2238464 2330112 2588224 2676512 2868032 3094717 3106816 3316162 3357696 3429281 3637248 3882336 4014768 4030464 4302048 4476928 4660224 4974243 5176448 5353024 5736064 6189434 6213632 6632324 6715392 6858562 7764672 8029536 8604096 8953856 9284151 9320448 9948486 10287843 10352896 10706048 11472128 12378868 12427264 13264648 13430784 13717124 15529344 16059072 17208192 17907712 18568302 18640896 19896972 20575686 20705792 21412096 22944256 24757736 24854528 26529296 26861568 27434248 31058688 32118144 34416384 35815424 37136604 37281792 39793944 41151372 41411584 42824192 45888512 49515472 49709056 53058592 53723136 54868496 62117376 64236288 68832768 74273208 74563584 79587888 82302744 82823168 85648384 91419613 91777024 99030944 106117184 107446272 109736992 124234752 126883397 128472576 137665536 148546416 149127168 159175776 164605488 165646336 171296768 182839226 183554048 198061888 212234368 219473984 248469504 253766794 256945152 274258839 275331072 297092832 318351552 329210976 331292672 342593536 365678452 367108096 380650191 396123776 424468736 438947968 496939008 507533588 513890304 548517678 550662144 594185664 636703104 658421952 662585344 685187072 731356904 734216192 761300382 792247552 848937472 877895936 993878016 1015067176 1027780608 1097035356 1101324288 1188371328 1273406208 1316843904 1325170688 1370374144 1462713808 1468432384 1522600764 1584495104 1697874944 1755791872 1987756032 2030134352 2055561216 2194070712 2202648576 2376742656 2546812416 2633687808 2740748288 2925427616 3045201528 3168990208 3382525681 3395749888 3511583744 3748204133 3975512064 4060268704 4111122432 4388141424 4405297152 4753485312 5093624832 5267375616 5850855232 6090403056 6337980416 6765051362 6791499776 7023167488 7496408266 8120537408 8222244864 8776282848 9506970624 10147577043 10187249664 10534751232 11244612399 11701710464 12180806112 12675960832 13530102724 13582999552 14046334976 14992816532 16241074816 17552565696 19013941248 20295154086 20374499328 21069502464 22489224798 23403420928 24361612224 25351921664 27060205448 27165999104 28092669952 29985633064 32482149632 35105131392 38027882496 40590308172 40748998656 42139004928 44978449596 46806841856 48723224448 50703843328 54120410896 54331998208 56185339904 59971266128 64964299264 70210262784 76055764992 81180616344 81497997312 84278009856 89956899192 93613683712 97446448896 101407686656 108240821792 112370679808 119942532256 129928598528 138683552921 140420525568 152111529984 162361232688 162995994624 168556019712 179913798384 187227367424 194892897792 216481643584 239885064512 259857197056 277367105842 280841051136 304223059968 324722465376 337112039424 359827596768 374454734848 389785795584 416050658763 432963287168 479770129024 519714394112 554734211684 561682102272 649444930752 719655193536 748909469696 779571591168 832101317526 865926574336 959540258048 1039428788224 1109468423368 1123364204544 1298889861504 1439310387072 1497818939392 1559143182336 1664202635052 1731853148672 1919080516096 2078857576448 2218936846736 2246728409088 2597779723008 2878620774144 2995637878784 3118286364672 3328405270104 3463706297344 3838161032192 4157715152896 4437873693472 4493456818176 5195559446016 5757241548288 6236572729344 6656810540208 6927412594688 7676322064384 8875747386944 8986913636352 10391118892032 11514483096576 12473145458688 13313621080416 13854825189376 15352644128768 17751494773888 20782237784064 23028966193152 26627242160832 27709650378752 30705288257536 35502989547776 41564475568128 46057932386304 53254484321664 55419300757504 61410576515072 71005979095552 83128951136256 92115864772608 106508968643328 110838601515008 122821153030144 142011958191104 166257902272512 184231729545216 213017937286656 284023916382208 332515804545024 368463459090432 426035874573312 568047832764416 852071749146624 1136095665528832 1704143498293248 2272191331057664 3408286996586496 4544382662115328 6816573993172992 13633147986345984
• Sum of all divisors σ(n): 38283171856413120
• Sum of proper divisors (its aliquot sum) s(n): 24650023870067136
• 13633147986345984 is an abundant number, because the sum of its proper divisors (24650023870067136) is greater than itself. Its abundance is 11016875883721152

Bases of 13633147986345984

• Binary: 110000011011110100011010011110111001011000000000000000₂
• Hexadecimal: 0x306F469EE58000
• Base-36: 3Q8JPQ1MC5C

Squares and roots of 13633147986345984

• 13633147986345984 squared (13633147986345984²) is 185862724017609558341696152928256
• 13633147986345984 cubed (13633147986345984³) is 2533894021677453107546953032551094690667145723904
• The square root of 13633147986345984 is 116761072.2216355121
• The cube root of 13633147986345984 is 238890.4102785245

Scales and comparisons

• 13,633,147,986,345,984 seconds is equal to 433,491,935 years, 45 weeks, 1 day, 18 hours, 46 minutes, 24 seconds.
• To count from 1 to 13,633,147,986,345,984 would take you about one billion, three hundred million, four hundred seventy-five thousand, eight hundred seven years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 13633147986345984 cubic inches would be around 19907.5 feet tall.

Recreational maths with 13633147986345984

• 13633147986345984 backwards is 48954368974133631
• The number of decimal digits it has is: 17
• The sum of 13633147986345984's digits is 84
• More coming soon!